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200 LearnersLast updated on December 10th, 2024
Factors of 123
Factors of any number are the dividers or multipliers that can divide the number fully and can be multiplied together to produce the given product, 123. Do you know, factors form the basic approach to solve some general mathematical procedures? This article will give you the insights of factors of 123.
What are the Factors of 123?
The factors of 123 or the numbers which divide 123 exactly are:
1,3,41, and 123.
|
Negative factors of 123 |
-1,-3,-41,-123 |
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Prime factors of 123 |
3,41 |
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Prime factorization of 123 |
3×41 |
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The sum of factors of 123 |
1+3+41+123 = 168 |
How to Find the Factors of 123
For finding factors of 123, we will be learning these below-mentioned methods:
- Multiplication Method
- Division Method
- Prime Factor and Prime Factorization
- Factor Tree
Finding Factors using Multiplication Methods
This particular method often finds the pair of factors which, on multiplication together, produces 123. Let us find the pairs which, on multiplication, yields 123.
- 1×123=123
- 3×41=123
So, factors of 123 are: 1,3,41, and 123.
Finding Factors using Division Method
The division method finds the factors that evenly divides the given number 123. In this process, we have to divide 123 by all possible natural numbers less than 123 and check.
1,3,41, and 123 are the only factors that the number 123 has. So to verify the factors of 123 using the division method, we just need to divide 123 by each factor.
123/1 =123
123/3=41
123/41=3
123/123=1
Prime Factors and Prime Factorization
Prime Factorization is the easiest process to find prime factors. It decomposes 123 into a product of its prime integers.
- Prime Factors of 123: 3,41.
- Prime Factorization of 123: 3×41
Factor tree
The number 123 is written on top and two branches are extended.
Fill in those branches with a factor pair of the number above, i.e., 123.
Continue this process until each branch ends with a prime factor (number).
The first two branches of the factor tree of 123 are 3 and 41.
Factor Pairs
Positive pair factors: (1,123), (3,41).
Negative pair factors: (-1,-123), (-3,-41).
Common Mistakes and How to Avoid Them in Factors of 123
Factors of 123 Examples
Problem 1
The LCM of two numbers is 123 and their GCF is 1. If one of the numbers is 41, find the other.
Explanation
Problem 2
Find the simplest form of square root of 123.
Explanation
Problem 3
Find the factors of 246.
Explanation
Problem 4
Find the smallest number that is divisible by 123 and 246.
Explanation
Problem 5
If a number is divisible by both 3 and 41, is it divisible by 123?
Explanation
FAQs on Factors of 123
1.What is the factor tree of 123?
2.Is 123 a prime factor?
3.Is 123 a factor of 246?
4.Is 123 divisible by 3?
5.Is 123 divisible by 6?
Important Glossaries for Factors of 123
- Multipliers - Number which multiplies or a number by which another number is multiplied.
- Dividers - A number that divides.
- Prime Factorization - It involves factoring the number into its prime factors.
- Prime factors - These are the prime numbers which on multiplication together results into the original number whose prime factors are to be obtained.
- Composite numbers - These are numbers having more than two factors.
- Multiple - It is a product of the given number and any other integer.
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Hiralee Lalitkumar Makwana
About the Author
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
Fun Fact
: She loves to read number jokes and games.
